218.16 to the nearest tenth would be 218
Answer:
z = 44
Step-by-step explanation:
180 - (44+52) = 180 - 96 = 84º
180 - 84 = 96º
180 - (96 + 40) = z
180 - 136 = z
z = 44
In(x) =5
it's base is e
so x = e^5 is the answer
Answer: the rate of the boat in calm water is 9 mph and the rate of the current is 7 mph
Step-by-step explanation:
Let x represent the rate of the boat in calm water.
Let y represent the rate of the current.
A boat goes 32 miles downstream in two hours. Assuming that it travelled in the direction of the current, its total speed would be
x + y mph
Distance = speed × time
Distance covered downstream is
32 = 2(x + y)
16 = x + y - - - - - - - - - - - -1
The return trip against the current takes sixteen hours.
Its total speed would be x - y mph
Distance = speed × time
Distance covered on return trip is
32 = 16(x - y)
2 = x - y - - - - - - - - - - - -2
Adding equation 1 and equation 2, it becomes
18 = 2x
x = 18/2 = 9 mph
Substituting x = 9 into equation 1, it becomes
16 = 9 + y
y = 16 - 9 = 7 mph
The sum of the polynomials (8x²-9y²-4x)+(x²-3y²<span>-7x) is:
1. You must add the terms whose variables and exponents are the same.
2. Let's rewrite the polynomials:
</span>
(8x²-9y²-4x)+(x²-3y²-7x)
8x²-9y²-4x+x²-3y²-7x
(8+1)x²+(-4-7)x+(-9-3)y²
3. Therefore, the result is:
9x²-11x-12y²
3. <span>What is the sum of the polynomials?
The answer is: </span>9x²-11x-12y²
